4955984600 has 192 divisors, whose sum is σ = 13556989440. Its totient is φ = 1649894400.

The previous prime is 4955984599. The next prime is 4955984611. The reversal of 4955984600 is 64895594.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7255859 + ... + 7256541.

It is an arithmetic number, because the mean of its divisors is an integer number (70609320).

Almost surely, 2^4955984600 is an apocalyptic number.

4955984600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955984600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778494720).

4955984600 is an abundant number, since it is smaller than the sum of its proper divisors (8601004840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4955984600 is a wasteful number, since it uses less digits than its factorization.

4955984600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 4955984600 is about 70398.7542503417. The cubic root of 4955984600 is about 1704.9434655306.

The spelling of 4955984600 in words is "four billion, nine hundred fifty-five million, nine hundred eighty-four thousand, six hundred".